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Simplifying 2(d + 8) = 4(d + -3) Reorder the terms: 2(8 + d) = 4(d + -3) (8 * 2 + d * 2) = 4(d + -3) (16 + 2d) = 4(d + -3) Reorder the terms: 16 + 2d = 4(-3 + d) 16 + 2d = (-3 * 4 + d * 4) 16 + 2d = (-12 + 4d) Solving 16 + 2d = -12 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 16 + 2d + -4d = -12 + 4d + -4d Combine like terms: 2d + -4d = -2d 16 + -2d = -12 + 4d + -4d Combine like terms: 4d + -4d = 0 16 + -2d = -12 + 0 16 + -2d = -12 Add '-16' to each side of the equation. 16 + -16 + -2d = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -2d = -12 + -16 -2d = -12 + -16 Combine like terms: -12 + -16 = -28 -2d = -28 Divide each side by '-2'. d = 14 Simplifying d = 14
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